   Chapter 1.3, Problem 3E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The graph of y = f ( x ) is given. Match each equation with its graph and give reasons for your choices.(a) y = f ( x − 4 ) (b) y = f ( x ) + 3 (c) y = 1 3 f ( x ) (d) y = − f ( x + 4 ) (e) y = 2 f ( x + 6 ) (a)

To determine

To match: The equation y=f(x4) with the given graph and justify the choice of the graph.

Explanation

The equation y=f(x4) represents that the graph of the function is shifted 4 units to the right side. Thus, the graph of y=f(x4) is shown below

(b)

To determine

To match: The equation y=f(x)+3 with the given graph and justify the choice of the graph.

(c)

To determine

To match: The equation y=13f(x) with the given graph and justify the choice of the graph.

(d)

To determine

To match: The equation y=f(x4) with the given graph and justify the choice of the graph.

(e)

To determine

To match: The equation y=2f(x+6) with the given graph and justify the choice of the graph.

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